How do I get this effect in a UITableViewCell? The icon placement is just to the right of the label.
Also, is this shuffle icon something that is standard which I should use? I have a similar application where the user can shuffle through words, each word will play in random order if they press this.

You can use the UIKit Artwork Extractor [1] to extract all the apple standard icons and use them in your application. Apple has no problem with this (so far).
[1] https://github.com/0xced/UIKit-Artwork-Extractor/blob/master/README.md